Null One-Way Fields in the Kerr Spacetime

  • V. O. Pelykh Ya.S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Nat. Acad. of Sci. of Ukraine
  • Y. V. Taistra Ya.S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Nat. Acad. of Sci. of Ukraine
Keywords: massless field, null one-way field, Maxwell spinor, Kerr spacetime, separation of variables

Abstract

Analytical solutions of the equations for massless fields with arbitrary spins have been obtained in the Kerr metric in the null one-way form, i.e. in the form of ingoing or outgoing, according to Chandrasekhar, fields propagating to or from a black hole, respectively. On the basis of the Newman–Penrose approach in the spinor formulation, the null one-way fields in the Petrov-type D spacetime are considered. A general analytical solution and an analytical solution with separated variables are found for the generalized equations of those fields in the Kerr metric. In the partial case of electromagnetic field, the Maxwell tensor and the energy-momentum tensor for the outgoing and ingoing one-way fields are calculated.

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Published
2018-12-12
How to Cite
Pelykh, V., & Taistra, Y. (2018). Null One-Way Fields in the Kerr Spacetime. Ukrainian Journal of Physics, 62(11), 1007. Retrieved from https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018616
Section
Astrophysics and cosmology